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40608946000 = 2453723113367
BaseRepresentation
bin100101110100011110…
…110101011101010000
310212211002220012101001
4211310132311131100
51131131342233000
630353330351344
72635220226400
oct456436653520
9125732805331
1040608946000
11162497671a7
127a53a2b554
133aa229103c
141d73402800
1510ca1c046a
hex9747b5750

40608946000 has 240 divisors, whose sum is σ = 117917309952. Its totient is φ = 13472928000.

The previous prime is 40608945983. The next prime is 40608946003. The reversal of 40608946000 is 64980604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40608946003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031317 + ... + 3044683.

Almost surely, 240608946000 is an apocalyptic number.

40608946000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40608946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58958654976).

40608946000 is an abundant number, since it is smaller than the sum of its proper divisors (77308363952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40608946000 is a wasteful number, since it uses less digits than its factorization.

40608946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435 (or 13412 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 40608946000 in words is "forty billion, six hundred eight million, nine hundred forty-six thousand".